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Finding the Fourth Proportional to 201,146.40, 301,719.60 and 107,834.40

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Solution

The fourth proportional to 201,146.40, 301,719.60 and 107,834.40 is: 161,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146.40 : 301,719.60 = 107,834.40 : x
  2. Step 2: Convert to fraction form
    201,146.40/301,719.60 = 107,834.40/x
  3. Step 3: Cross multiply
    201,146.40x = 301,719.60 × 107,834.40
  4. Step 4: Simplify right side
    201,146.40x = 32,535,752,034.24
  5. Step 5: Solve for x
    x = 32,535,752,034.24/201,146.40
  6. Step 6: Final answer
    x = 161,751.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.